Hölder regularity in non autonomous degenerate abstract parabolic equations
type: Item
instance of: scholarly article
title: Hölder regularity in non autonomous degenerate abstract parabolic equations
zbMATH Open document ID: 0757.34050
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1993-01-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108248
review text: The author shows optimal Hölder regularity for evolution equations \(\dot u(t)=\varphi(t)A(t)u(t)+f(t)\), where \(A(t)\) generate analytic semigroups and \(\varphi(t)\) is a continuous positive function.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
zbMATH DE Number: 94570
zbMATH Keywords: optimal Hölder regularity
zbMATH Keywords: evolution equations
zbMATH Keywords: analytic semigroups
author: Anna Buttu
reviewed by: Rainer Nagel
MaRDI profile type: Publication
cites work: Q4204639
cites work: Evolution operators and strong solutions of abstract linear parabolic equations
cites work: A unified approach to abstract linear nonautonomous parabolic equations
cites work: Hölder classes with boundary conditions as interpolation spaces
cites work: On a class of abstract degenerate parabolic equations
cites work: Sommes d'opérateurs linéaires et équations différentielles opérationnelles
cites work: Degenerate and singular evolution equations in Banach space
cites work: On some abstract degenerate problems of parabolic type—2. The nonlinear case
cites work: Degenerate Evolution Equations in Hilbert Space
cites work: Bounded solutions for abstract time-periodic parabolic equations with nonconstant domains
cites work: On the evolution operator for abstract parabolic equations
cites work: Regularity theorems for solutions of a degenerate evolution equation
cites work: On the abstract Cauchy problem of parabolic type in spaces of continuous functions
cites work: Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
description: scientific article; zbMATH DE number 94570